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SRS Standard pair #487084358
details
property
value
status
complete
benchmark
size-12-alpha-3-num-65.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n144.star.cs.uiowa.edu
space
Waldmann_07_size12
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
49.0384 seconds
cpu usage
192.661
user time
189.101
system time
3.55934
max virtual memory
1.0897496E7
max residence set size
103292.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: a(x1) -> x1 a(a(x1)) -> a(b(c(a(b(x1))))) c(b(x1)) -> a(c(x1)) Proof: DP Processor: DPs: a#(a(x1)) -> a#(b(x1)) a#(a(x1)) -> c#(a(b(x1))) a#(a(x1)) -> a#(b(c(a(b(x1))))) c#(b(x1)) -> c#(x1) c#(b(x1)) -> a#(c(x1)) TRS: a(x1) -> x1 a(a(x1)) -> a(b(c(a(b(x1))))) c(b(x1)) -> a(c(x1)) TDG Processor: DPs: a#(a(x1)) -> a#(b(x1)) a#(a(x1)) -> c#(a(b(x1))) a#(a(x1)) -> a#(b(c(a(b(x1))))) c#(b(x1)) -> c#(x1) c#(b(x1)) -> a#(c(x1)) TRS: a(x1) -> x1 a(a(x1)) -> a(b(c(a(b(x1))))) c(b(x1)) -> a(c(x1)) graph: c#(b(x1)) -> c#(x1) -> c#(b(x1)) -> a#(c(x1)) c#(b(x1)) -> c#(x1) -> c#(b(x1)) -> c#(x1) c#(b(x1)) -> a#(c(x1)) -> a#(a(x1)) -> a#(b(c(a(b(x1))))) c#(b(x1)) -> a#(c(x1)) -> a#(a(x1)) -> c#(a(b(x1))) c#(b(x1)) -> a#(c(x1)) -> a#(a(x1)) -> a#(b(x1)) a#(a(x1)) -> c#(a(b(x1))) -> c#(b(x1)) -> a#(c(x1)) a#(a(x1)) -> c#(a(b(x1))) -> c#(b(x1)) -> c#(x1) a#(a(x1)) -> a#(b(c(a(b(x1))))) -> a#(a(x1)) -> a#(b(c(a(b(x1))))) a#(a(x1)) -> a#(b(c(a(b(x1))))) -> a#(a(x1)) -> c#(a(b(x1))) a#(a(x1)) -> a#(b(c(a(b(x1))))) -> a#(a(x1)) -> a#(b(x1)) a#(a(x1)) -> a#(b(x1)) -> a#(a(x1)) -> a#(b(c(a(b(x1))))) a#(a(x1)) -> a#(b(x1)) -> a#(a(x1)) -> c#(a(b(x1))) a#(a(x1)) -> a#(b(x1)) -> a#(a(x1)) -> a#(b(x1)) EDG Processor: DPs: a#(a(x1)) -> a#(b(x1)) a#(a(x1)) -> c#(a(b(x1))) a#(a(x1)) -> a#(b(c(a(b(x1))))) c#(b(x1)) -> c#(x1) c#(b(x1)) -> a#(c(x1)) TRS: a(x1) -> x1 a(a(x1)) -> a(b(c(a(b(x1))))) c(b(x1)) -> a(c(x1)) graph: c#(b(x1)) -> c#(x1) -> c#(b(x1)) -> c#(x1) c#(b(x1)) -> c#(x1) -> c#(b(x1)) -> a#(c(x1)) c#(b(x1)) -> a#(c(x1)) -> a#(a(x1)) -> a#(b(x1)) c#(b(x1)) -> a#(c(x1)) -> a#(a(x1)) -> c#(a(b(x1))) c#(b(x1)) -> a#(c(x1)) -> a#(a(x1)) -> a#(b(c(a(b(x1))))) a#(a(x1)) -> c#(a(b(x1))) -> c#(b(x1)) -> c#(x1) a#(a(x1)) -> c#(a(b(x1))) -> c#(b(x1)) -> a#(c(x1)) SCC Processor: #sccs: 1 #rules: 3 #arcs: 7/25 DPs: c#(b(x1)) -> c#(x1) c#(b(x1)) -> a#(c(x1)) a#(a(x1)) -> c#(a(b(x1))) TRS: a(x1) -> x1 a(a(x1)) -> a(b(c(a(b(x1))))) c(b(x1)) -> a(c(x1)) Arctic Interpretation Processor: dimension: 3 usable rules: a(x1) -> x1 a(a(x1)) -> a(b(c(a(b(x1))))) c(b(x1)) -> a(c(x1)) interpretation: [c#](x0) = [0 -& 0 ]x0 + [0], [0 0 0] [-&] [b](x0) = [0 0 0]x0 + [-&] [1 0 1] [1 ], [a#](x0) = [0 1 0]x0 + [1], [0 0 -&] [-&] [a](x0) = [1 1 1 ]x0 + [1 ] [0 0 0 ] [0 ], [0 -& -&] [-&] [c](x0) = [0 -& 0 ]x0 + [-&] [0 -& -&] [0 ] orientation: c#(b(x1)) = [1 0 1]x1 + [1] >= [0 -& 0 ]x1 + [0] = c#(x1)
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